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Finding the Fourth Proportional to 98,315.50, 147,473.81 and 24,443.50

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Solution

The fourth proportional to 98,315.50, 147,473.81 and 24,443.50 is: 36,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,315.50 : 147,473.81 = 24,443.50 : x
  2. Step 2: Convert to fraction form
    98,315.50/147,473.81 = 24,443.50/x
  3. Step 3: Cross multiply
    98,315.50x = 147,473.81 × 24,443.50
  4. Step 4: Simplify right side
    98,315.50x = 3,604,776,074.74
  5. Step 5: Solve for x
    x = 3,604,776,074.74/98,315.50
  6. Step 6: Final answer
    x = 36,665.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.